Photographing optical lens assembly

ABSTRACT

This invention provides a photographing optical lens assembly, from an object side to an image side in order, comprising a first lens element with positive refractive power having a convex object-side surface, a second lens element with negative refractive power having a concave image-side surface, a third lens element with positive refractive power, a fourth lens element with negative refractive power having a concave image-side surface, both the two surfaces of the fourth lens thereof being aspheric. And an aperture stop is positioned between the first element and the second lens element. There are four lens elements with refractive power in the lens assembly.

BACKGROUND OF THE INVENTION

1. Field of the Invention

The present invention relates to a photographing optical lens assembly,and more particularly, to a photographing optical lens assembly withreduced optical sensitivity and high resolution.

2. Description of the Prior Art

A conventional high resolution compact photographing optical lensassembly is generally configured such that a frontal aperture stop isadopted and there are four lens elements in the assembly, wherein thefirst lens element and the second lens element with spherical surfacesmade of glass are usually combined together into a doublet lensstructure in order to correct chromatic aberrations. This is disclosedin U.S. Pat. No. 7,365,920 and there are drawbacks with this method.First, an arrangement of too many spherical lenses will limit thefreedom in optical system design, which makes it difficult to shortenthe total track length of the system. Secondly, the bonding of glasslenses is difficult in manufacturing process. A lens assembly with fourindependent lenses is disclosed in U.S. Pat. No. 7,277,238, includingmultiple aspheric lenses which effectively shorten the total tracklength of the system and obtaining good image quality. However, due tothe aperture stop of the system is positioned in front of the first lenselement, the system sensitivity is increased which also increases thedifficulty in controlling the yields in manufacturing.

SUMMARY OF THE INVENTION

The present invention provides a photographing optical lens assemblycomprising, in order from an object side to an image side: a first lenselement with positive refractive power having a convex object-sidesurface and a convex image-side surface; a second lens element withnegative refractive power having a concave object-side surface and aconcave image-side surface; a third lens element with positiverefractive power; and a fourth lens element with negative refractivepower having a concave image-side surface, both of the object-side andimage-side surfaces thereof being aspheric; wherein the photographingoptical lens assembly also provides an aperture stop and an electronicsensor; wherein the aperture stop is disposed between the first lenselement and the second lens element; wherein the electronic sensor isdisposed on the image plane for image formation; wherein there are fourlens elements with refractive power in the photographing optical lensassembly; and wherein a focal length of the photographing optical lensassembly is f, a focal length of the first lens element is f1, a focallength of the third lens element is f3, a radius of curvature of theobject-side surface of the first lens element is R1, a radius ofcurvature of the object-side surface of the third lens element is R5, aradius of curvature of the image-side surface of the third lens elementis R6, a distance on the optical axis between the aperture stop and theimage plane is SL, a distance on the optical axis between theobject-side surface of the first lens element and the electronic sensoris TTL, and they satisfy the relations: −0.27<(f/f1)−(f/f3)<−0.05;0.2<R1/f<0.5; 1.40<R5/R6<4.30; 0.77<SL/TTL<0.92.

According to another aspect of the present invention, a photographingoptical lens assembly comprises, in order from the object side to theimage side: a first lens element with positive refractive power having aconvex object-side surface and a convex image-side surface; a secondlens element with negative refractive power having a concave image-sidesurface; a third lens element with positive refractive power having aconcave object-side surface and a convex image-side surface, at leastone of the object-side and image-side surfaces thereof being aspheric;and a fourth lens element with negative refractive power having aconcave image-side surface, both of the object-side and image-sidesurfaces thereof being aspheric, at least one inflection point formed onthe object-side and image-side surfaces; wherein the photographingoptical lens assembly also provides an aperture stop and an electronicsensor; wherein an aperture stop is disposed between the first lenselement and the second lens element; wherein the electronic sensor isdisposed on the image plane for image formation; wherein there are fourlens elements with refractive power in the photographing optical lensassembly; wherein a focal length of the photographing optical lensassembly is f, a focal length of the first lens element is f1, a focallength of the third lens element is f3, an Abbe number of the first lenselement is V1, an Abbe number of the second lens element is V2, a radiusof curvature of the object-side surface of the first lens element is R1,a radius of curvature of the image-side surface of the first lenselement is R2, a radius of curvature of the object-side surface of thethird lens element is R5, a radius of curvature of the image-sidesurface of the third lens element is R6, a distance on the optical axisbetween the aperture stop and the image plane is SL, a distance on theoptical axis between the object-side surface of the first lens elementand the electronic sensor is TTL, half of the diagonal length of theeffective pixel area of the electronic sensor is ImgH, and they satisfythe relations: −0.27<(f/f1)-(f/f3)<−0.05; 31.0<V1−V2<42.0;−2.00<R1/R2<−0.01; 1.40<R5/R6<4.30; 0.77<SL/TTL<0.92; TTL/ImgH<1.95.

According to another aspect of the present invention, a photographingoptical lens assembly comprises, in order from the object side to theimage side: a first lens element with positive refractive power having aconvex object-side surface; a second lens element with negativerefractive power having a concave image-side surface; a third lenselement with positive refractive power having a concave object-sidesurface and a convex image-side surface, at least one of the object-sideand image-side surfaces thereof being aspheric; and a fourth lenselement with negative refractive power having a concave image-sidesurface, both of the object-side and image-side surfaces thereof beingaspheric, at least one inflection point formed on the object-side andimage-side surfaces; wherein the photographing optical lens assemblyprovides an aperture stop and an electronic sensor; wherein the aperturestop is disposed between the first lens element and the second lenselement; wherein the electronic sensor is disposed on the image planefor image formation; and wherein there are four lens elements withrefractive power in the photographing optical lens assembly; and whereina focal length of the photographing lens assembly is f, a focal lengthof the fourth lens element is f4, a radius of curvature of theobject-side surface of the third lens element is R5, a radius ofcurvature of the image-side surface of the third lens element is R6, anAbbe number of the first lens element is V1, an Abbe number of thesecond lens element is V2, a distance on the optical axis between theaperture stop and the image plane is SL, a distance on the optical axisbetween the object-side surface of the first lens element and theelectronic sensor is TTL, and they satisfy the relations:−2.5<f/f4<−1.5; 2.0<(R5+R6)/(R5−R6)<5.0; 31.0<V1−V2<42.0;0.77<SL/TTL<0.92.

Such an arrangement of optical elements can effectively reduce the totaltrack length of the lens assembly, lower the sensitivity of the opticalsystem, and obtain higher resolution image quality.

In the aforementioned photographing optical lens assembly, the firstlens element with positive refractive power supplies refractive powerfor the system and reduces the total track length of the system; thesecond lens element with negative refractive power may correct thechromatic aberration of the system; the third lens element with positiverefractive power can effectively distribute the refractive power of thefirst lens element and reduce the sensitivity of the system; the fourthlens element with negative refractive power acts as a corrective lens,which can balance and correct the various aberrations in the system.

In the aforementioned photographing optical lens assembly of the presentinvention, the first lens element can be a bi-convex lens element or ameniscus lens element having a concave object-side surface and a conveximage-side surface. When the first lens element is a bi-convex lenselement, the refractive power thereof can be effectively enhanced, thusshortening the total track length of the system. When the second lenselement is a meniscus lens element with a convex object-side surface anda concave image-side surface, the spherical aberration of the system canbe corrected more favorably. When the image-side surface of the secondlens element is concave, Petzval Sum of the system can be effectivelycorrected and the back focal distance of the system can be enlarged toobtain enough back focal distance for placing other components in thephotographing optical lens assembly. When the second lens element is abi-convex lens element, chromatic aberration of the system can befavorably corrected with the corresponding choice of materials. When thesecond lens element is a meniscus lens element with a convex object-sidesurface and a concave image-side surface, astigmatism of the system canbe favorably corrected, and the sensitivity of the system can bereduced. When the third lens element has a concave object-side surfaceand a convex image-side surface, high order aberration can be favorablycorrected. The fourth lens element can be a bi-concave lens element or ameniscus lens element with a convex object-side surface and a concaveimage-side surface. When the fourth lens element is a bi-concave lenselement, the principal point of the optical system can be further awayfrom the image plane, which reduces the total track length of the systemin order for the system to stay compact. When the fourth lens elementhas a convex object-side surface and a concave image-side surface,astigmatism and high order aberrations of the system can be favorablycorrected.

In the aforementioned photographing optical lens assembly, the aperturestop is disposed between the first lens element and the second lenselement. By providing positive refractive power from the first and thirdlens elements, while the aperture stop is disposed closer to the objectside of the photographing optical lens assembly, the total track lengthof the photographing optical lens assembly can be effectively reduced.In addition, the aforementioned arrangement also enables the exit pupilof the photographing optical lens assembly to be positioned far awayfrom the image plane, thus light will be projected onto the electronicsensor at a nearly perpendicular angle, and this is the telecentricfeature of the image side. The telecentric feature is very important tothe photosensitive power of the current solid-state sensor as it canimprove the photosensitivity of the sensor to reduce the probability ofthe occurrence of shading. Moreover, the fourth lens element is providedwith at least one inflection point, thereby the angle at which the lightis projected onto the sensor from the off-axis field can be effectivelyreduced to further correct the off-axis aberrations. Additionally, in awide angle optical system, the correction of the distortion andchromatic aberration of magnification is especially needed. This is donethrough placing the aperture stop at a position where the refractivepower of the system is balanced. Therefore, in the aforementionedphotographing optical lens assembly of the present invention, theaperture stop is disposed between the first lens element and the secondlens element which obtains a good balance between reducing the totaltrack length of the lens assembly and lowering the sensitivity of thesystem.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 shows a photographing optical lens assembly in accordance with afirst embodiment of the present invention.

FIG. 2 shows the aberration curves of the first embodiment of thepresent invention.

FIG. 3 shows a photographing optical lens assembly in accordance with asecond embodiment of the present invention.

FIG. 4 shows the aberration curves of the second embodiment of thepresent invention.

FIG. 5 shows a photographing optical lens assembly in accordance with athird embodiment of the present invention.

FIG. 6 shows the aberration curves of the third embodiment of thepresent invention.

FIG. 7 shows a photographing optical lens assembly in accordance with afourth embodiment of the present invention.

FIG. 8 shows the aberration curves of the fourth embodiment of thepresent invention.

FIG. 9 shows a photographing optical lens assembly in accordance with afifth embodiment of the present invention.

FIG. 10 shows the aberration curves of the fifth embodiment of thepresent invention.

FIG. 11 shows a photographing optical lens assembly in accordance with asixth embodiment of the present invention.

FIG. 12 shows the aberration curves of the sixth embodiment of thepresent invention.

FIG. 13 shows a photographing optical lens assembly in accordance with aseventh embodiment of the present invention.

FIG. 14 shows the aberration curves of the seventh embodiment of thepresent invention.

FIG. 15 is TABLE 1 which lists the optical data of the first embodiment.

FIG. 16 is TABLE 2 which lists the aspheric surface data of the firstembodiment.

FIG. 17 is TABLE 3 which lists the optical data of the secondembodiment.

FIG. 18 is TABLE 4A and 4B which list the aspheric surface data of thesecond embodiment.

FIG. 19 is TABLE 5 which lists the optical data of the third embodiment.

FIG. 20 is TABLE 6A and 6B which list the aspheric surface data of thethird embodiment.

FIG. 21 is TABLE 7 which lists the optical data of the fourthembodiment.

FIG. 22 is TABLE 8A and 8B which list the aspheric surface data of thefourth embodiment.

FIG. 23 is TABLE 9 which lists the optical data of the fifth embodiment.

FIG. 24 is TABLE 10A and 10B which list the aspheric surface data of thefifth embodiment.

FIG. 25 is TABLE 11 which lists the optical data of the sixthembodiment.

FIG. 26 is TABLE 12A and 12B which list the aspheric surface data of thesixth embodiment.

FIG. 27 is TABLE 13 which lists the optical data of the seventhembodiment.

FIG. 28 is TABLE 14A and 14B which list the aspheric surface data of theseventh embodiment.

FIG. 29 is TABLE 15 which lists the data of the respective embodimentsresulting from the equations.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

The present invention provides a photographing optical lens assemblycomprising, in order from an object side to an image side: a first lenselement with positive refractive power having a convex object-sidesurface and a convex image-side surface; a second lens element withnegative refractive power having a concave object-side surface and aconcave image-side surface; a third lens element with positiverefractive power; and a fourth lens element with negative refractivepower having a concave image-side surface, both of the object-side andimage-side surfaces thereof being aspheric; wherein the photographingoptical lens assembly further provides an aperture stop and anelectronic sensor, wherein an aperture stop is disposed between thefirst lens element and the second lens element; wherein the electronicsensor is disposed at the image plane for image formation; wherein thereare four lens elements with refractive power in the photographingoptical lens assembly; and wherein the focal length of the photographingoptical lens assembly is f, the focal length of the first lens elementis f1, the focal length of the third lens element is f3, the radius ofcurvature of the object-side surface of the first lens element is R1,the radius of curvature of the object-side surface of the third lenselement is R5, the radius of curvature of the image-side surface of thethird lens element is R6, the distance on the optical axis between theaperture stop and the image plane is SL, the distance on the opticalaxis between the object-side surface of the first lens element and theelectronic sensor is TTL, and they satisfy the relations:−0.27<(f/f1)−(f/f3)<−0.05; 0.2<R1/f<0.5; 1.40<R5/R6<4.30;0.77<SL/TTL<0.92.

When (f/f1)−(f/f3) satisfies the aforementioned relation, positiverefractive power of the system can be effectively distributed withouthaving too much refractive power from one lens element and can reducethe sensitivity of the system. When R1/f satisfies the aforementionedrelation, sufficient positive refractive power is provided for the firstlens element while not having too much high order aberration. When R5/R6satisfies the aforementioned relation, astigmatism of the system isfavorably corrected. When SL/TTL satisfies the aforementioned relation,a favorable balance between reducing the track length of the lensassembly and lowering the sensitivity of the system can be achieved.

In the aforementioned photographing optical lens assembly of the presentinvention, preferably, the third lens element has a concave object-sidesurface and a convex image-side surface, which can correct theastigmatism of the system; preferably, the fourth lens element has aconvex object-side surface and a concave image-side surface, which cancorrect astigmatism and high order aberration generated in the system.

In the aforementioned photographing optical lens assembly of the presentinvention, preferably, the fourth lens element is made of plasticmaterial. Plastic lenses can be favorably made into aspheric lenses andreduce cost of production.

In the aforementioned photographing optical lens assembly of the presentinvention, the focal length of the photographing optical lens assemblyis f, the focal length of the first lens element is f1, preferably,satisfy the relation: 1.43<f/f1<2.20. When f/f1 satisfies theaforementioned relation, the arrangement of the refractive power of thefirst lens element is more balanced, which can effectively control thetotal track length of the system and avoid having the high orderspherical aberration from becoming too large, in order to improve imagequality; furthermore, they preferably satisfy the relation:1.53<f/f1<2.00.

In the aforementioned photographing optical lens assembly of the presentinvention, the Abbe number of the first lens element is V1, the Abbenumber of the second lens element is V2, and preferably, they satisfythe relation: 31.0<V1−V2<42.0. When V1−V2 satisfies the aforementionedrelation, the chromatic aberration of the photographing optical lensassembly can be favorably corrected.

In the aforementioned photographing optical lens assembly of the presentinvention, the radius of curvature of the object-side surface of thethird lens element is R5, the radius of curvature of the image-sidesurface of the third lens element is R6, and preferably, they satisfythe relation: 1.85<R5/R6<3.50. When R5/R6 satisfies the aforementionedrelation, the astigmatism of the system can be favorably corrected.

In the aforementioned photographing optical lens assembly of the presentinvention, the focal length of the third lens element is f3, the focallength of the fourth lens element is f4, and preferably, they satisfythe relation: −1.2<f3/f4<−0.8. When f3/f4 satisfies the aforementionedrelation, the telephoto structure formed by the positive power of thethird lens element and the negative power of the fourth lens element canbe maintained, in order to reduce the total track length of the system.

In the aforementioned photographing optical lens assembly of the presentinvention, the radius of curvature of the object-side surface of thefirst lens element is R1, the radius of curvature of the image-sidesurface of the first lens element is R2, and preferably, they satisfythe relation: −1.00<R1/R2<−0.05. When R1/R2 satisfies the aforementionedrelation, the spherical aberration of the system can be compensated.

In the aforementioned photographing optical lens assembly of the presentinvention, the focal length of the photographing optical lens assemblyis f, the focal length of the fourth lens element is f4, and preferably,they satisfy the relation: −2.5<f/f4<−1.5. When f/f4 satisfies theaforementioned relation, aberration of the third lens element can beeffectively corrected for improved image quality of the system.

In the aforementioned photographing optical lens assembly of the presentinvention, the radius of curvature of the object-side surface of thesecond lens element is R3, the radius of curvature of the image-sidesurface of the second lens element is R4, and preferably, they satisfythe relation: −10.0<R3/R4<−1.0. When R3/R4 satisfies the aforementionedrelation, the second lens element is provided with sufficient negativerefractive power in order to correct the chromatic aberration of thesystem.

In the aforementioned photographing optical lens assembly of the presentinvention, the distance on the optical axis between the object-sidesurface of the first lens element and the electronic sensor is TTL, halfof the diagonal length of the effective pixel area of the electronicsensor is ImgH, and preferably, they satisfy the relation: TTL/ImgH<2.1.When TTL/ImgH satisfies the aforementioned relation, the photographingoptical lens assembly can favorably stay compact in order to be equippedon the light weight and compact electronic products.

According to another aspect of the present invention, a photographingoptical lens assembly, in order of an object side surface to animage-side surface, comprises: a first lens element with positiverefractive power having a convex object-side surface and a conveximage-side surface; a second lens element with negative refractive powerhaving a concave image-side surface; a third lens element with positiverefractive power having a concave object-side surface and a conveximage-side surface, at least one of the object-side and image-sidesurfaces thereof being aspheric; and a fourth lens element with negativerefractive power having a concave image-side surface, both of theobject-side and image-side surfaces thereof being aspheric, at least oneinflection point formed on the object-side and image-side surfaces;wherein the photographing optical lens assembly further provides anaperture stop and an electronic sensor; wherein the aperture stop isdisposed between the first lens element and the second lens element;wherein the electronic sensor is provided at the image plane for imageformation; wherein there are four lens elements with refractive power inthe photographing optical lens assembly; and wherein the focal length ofthe photographing optical lens assembly is f, the focal length of thefirst lens element is f1, the focal length of the third lens element isf3, the Abbe number of the first lens element is V1, the Abbe number ofthe second lens element is V2, the radius of curvature of theobject-side surface of the first lens element is R1, the radius ofcurvature of the image-side surface of the first lens element is R2, theradius of curvature of the object-side surface of the third lens elementis R5, the radius of curvature of the image-side surface of the thirdlens element is R6, the distance on the optical axis between theobject-side surface of the first lens element and the electronic sensoris TTL, the distance on the optical axis between the aperture stop andthe image plane is SL, half of the diagonal length of the effectivepixel area of the electronic sensor is ImgH, and they satisfy therelations: −0.27<(f/f1)-(f/f3)<−0.05; 31.0<V1−V2<42.0;−2.00<R1/R2<−0.01; 1.40<R5/R6<4.30; 0.77<SL/TTL<0.92; TTL/ImgH<1.95

When (f/f1)-(f/f3) satisfies the aforementioned relation, positiverefractive power of the system can be effectively distributed withouthaving too much refractive power from one lens element and thesensitivity of the system can be reduced favorably. When V1−V2 satisfiesthe aforementioned relation, chromatic aberration of the photographingoptical lens assembly can be favorably corrected. When R1/R2 satisfiesthe aforementioned relation, spherical aberration of the system can befavorably compensated; furthermore, preferably, it satisfies therelation: −1.00<R1/R2<−0.05. When R5/R6 satisfies the aforementionedrelation, astigmatism of the system can be favorably corrected. WhenSL/TTL satisfies the aforementioned relation, a favorable balance can beachieved between reducing the track length of the assembly and loweringthe sensitivity of the system. When TTL/ImgH satisfies theaforementioned relation, the photographing optical lens assembly canfavorably maintain its compact size in order to be equipped on lightweight and compact electronic products.

In the aforementioned photographing optical lens element of the presentinvention, preferably, the fourth lens element has a convex object-sidesurface and a concave image-side surface which corrects the astigmatismand high order aberration of the system.

In the aforementioned photographing optical lens element of the presentinvention, the focal length of the third lens element is f3, the focallength of the fourth lens element is f4, and preferably, they satisfythe relation: −1.2<f3/f4<−0.8. When f3/f4 satisfies the aforementionedrelation, the telephoto structure formed by the positive power of thethird lens element and the negative power of the fourth lens element canbe maintained, in order to reduce the total track length of the system.

In the aforementioned photographing optical lens element of the presentinvention, the distance on the optical axis between the first lenselement and the second lens element is T12, the focal length of thephotographing optical lens assembly is f, and preferably, they satisfythe relation: 0.5<(T12/f)*100<4.0. When T12/f satisfies theaforementioned relation, sufficient space for placing the aperture stopbetween the first lens element and the second lens element can beensured and such arrange is favorable for correcting high orderaberration of the system.

In the aforementioned photographing optical lens element of the presentinvention, the radius of curvature of the image-side surface of thefourth lens element is R8, the focal length of the photographing opticallens assembly is f, and preferably, they satisfy the relation:0.20<R8/f<0.35. When R8/f satisfies the aforementioned relation, theback focal distance of the system can be reduced in order to reduce thetotal track length of the photographing optical lens assembly.

In the aforementioned photographing optical lens element of the presentinvention, the radius of curvature of the object-side surface of thesecond lens element is R3, the radius of curvature of the image-sidesurface of the second lens element is R4, and preferably, they satisfythe relation: −10.0<R3/R4<−1.0. When R3/R4 satisfies the aforementionedrelation, the second lens element is provided with sufficient negativerefractive power in order to correct the chromatic aberration.

In the aforementioned photographing optical lens element of the presentinvention, the focal length of the photographing optical lens assemblyis f, the focal length of the fourth lens element is f4, and preferably,they satisfy the relation: −2.5<f/f4<−1.5. When f/f4 satisfies theaforementioned relation, aberration generated from the third lenselement can be effectively corrected and image quality of the system canimprove.

In the aforementioned photographing optical lens element of the presentinvention, the focal length of the photographing optical lens assemblyis f, the focal length of the first lens element is f1, and preferably,they satisfy the relation: 1.53<f/f1<2.00. When f/f1 satisfies theaforementioned relation, the refractive power distribution of the firstlens element is more balanced, the total track length of the system canbe effectively controlled, and high spherical aberration can beprevented from becoming too large, in order to improve image quality.

According to another aspect of the present invention, a photographingoptical lens assembly, in order of an object side surface to animage-side surface, comprises: a first lens element with positiverefractive power having a convex object-side surface; a second lenselement with negative refractive power having a concave image-sidesurface; a third lens element with positive refractive power having aconcave object-side surface and a convex image-side surface, at leastone of the object-side and image-side surfaces thereof being aspheric;and a fourth lens element with negative refractive power having aconcave image-side surface, both of the object-side and image-sidesurfaces thereof being aspheric, at least one inflection point formed onthe object-side and image-side surfaces; wherein the photographingoptical lens assembly further provides an aperture stop and anelectronic sensor; wherein the aperture stop is disposed between thefirst lens element and the second lens element; wherein the electronicsensor is disposed at the image plane for image formation; wherein thereare four lens elements with refractive power in the photographingoptical lens assembly; and wherein the focal length of the photographingoptical lens assembly is f, the focal length of the fourth lens elementis f4, the radius of curvature of the object-side surface of the thirdlens element is R5, the radius of curvature of the image-side surface ofthe third lens element is R6, the Abbe number of the first lens elementis V1, the Abbe number of the second lens element is V2, the distance onthe optical axis between the aperture stop and the image plane is SL,the distance on the optical axis between the object-side surface of thefirst lens element and the electronic sensor is TTL, and they satisfythe relations: −2.5<f/f4<−1.5; 2.0<(R5+R6)/(R5−R6)<5.0; 31.0<V1−V2<42.0;0.77<SL/TTL<0.92

When f/f4 satisfies the aforementioned relation, aberration of the thirdlens element can be effectively corrected for improved image quality ofthe system; preferably, it satisfies the relation: −2.2<f/f4 <−1.8. When(R5+R6)/(R5−R6) satisfies the aforementioned relation, the shape of thethird lens element can be controlled in order to correct off-axisaberration; preferably, it satisfies the relation:2.2<(R5+R6)/(R5−R6)<2.8. When V1−V2 satisfies the aforementionedrelation, chromatic aberration of the photographing optical lensassembly can be favorably corrected. When SL/TTL satisfies theaforementioned relation, a favorable balance between reducing the tracklength of the lens assembly and lowering the sensitivity of the systemcan be achieved.

In the aforementioned photographing optical lens element of the presentinvention, preferably, when the object-side surface of the fourth lenselement is concave, the principal point of the optical system can befurther away from the image plane, which reduces the total track lengthof the system in order for the system to stay compact; preferably, whenthe object-side surface of the second lens element is concave, PetzvalSum of the system can be effectively corrected and the back focaldistance of the system can be enlarged to obtain enough back focaldistance for placing other components in the photographing optical lensassembly.

In the aforementioned photographing optical lens assembly of the presentinvention, the distance on the optical axis between the first elementand the second lens element is T12, the focal length of thephotographing optical lens assembly is f, and they preferably satisfythe relation: 0.5<(T12/f)*100<4.0. When T12/f satisfies theaforementioned relation, sufficient space for placing the aperture stopbetween the first lens element and the second lens element can beensured and such arrange is favorable for correcting high orderaberration of the system.

In the present photographing optical lens assembly, the lens elementscan be made of glass or plastic material. If the lens elements are madeof glass, there is more freedom in distributing the refractive power ofthe system. If the lens elements are made of plastic, the manufacturingcost will be reduced effectively. Furthermore, the surfaces of the lenselements can be made into aspheric surfaces. Aspheric surfaces can beeasily made into non-spherical profiles, allowing more design parameterfreedom which can be used to reduce aberrations and the number of thelens elements, and the total track length of the photographing opticallens assembly can be effectively reduced.

In the present photographing optical lens assembly, if a lens elementhas a convex surface, it means the portion of the surface in proximityto the axis is convex; if a lens element has a concave surface, it meansthe portion of the surface in proximity to the axis is concave.

Preferred embodiments of the present invention will be described in thefollowing paragraphs by referring to the accompanying drawings.

FIG. 1 shows a photographing optical lens assembly in accordance with afirst embodiment of the present invention, and FIG. 2 shows theaberration curves of the first embodiment of the present invention. Thephotographing optical lens assembly of the first embodiment of thepresent invention mainly comprises four lens elements, in order from anobject side to an image side: a plastic first lens element 110 withpositive refractive power having a convex object-side surface 111 and aconvex image-side surface 112, the object-side and image-side surfaces111 and 112 thereof being aspheric; a plastic second lens element 120with negative refractive power having a concave object-side surface 121and a concave image-side surface 122, the object-side and image-sidesurfaces 121 and 122 thereof being aspheric; a plastic third lenselement 130 with positive refractive power having a convex object-sidesurface 131 and a convex image-side surface 132, both of the object-sideand image-side surfaces 131 and 132 thereof being aspheric; a plasticfourth lens element 140 with negative refractive power having a concaveobject-side surface 141 and a concave image-side surface 142, both ofthe object-side and image-side surfaces 141 and 142 thereof beingaspheric, at least one infection point formed on the object-side surface141 and the image-side surface 142; and wherein an aperture stop 100 isdisposed between the first lens element 110 and the second lens element120; wherein an IR filter 150 is disposed between the image-side surface142 of the fourth lens element 140 and the image plane 160; and whereinthe IR filter 150 is made of glass and has no influence on the focallength of the photographing optical lens assembly.

The equation of the aspheric surface profiles is expressed as follows:

${X(Y)} = {{\left( {Y^{2}/R} \right)/\left( {1 + {{sqrt}\left( {1 - {\left( {1 + k} \right)*\left( {Y/R} \right)^{2}}} \right)}} \right)} + {\sum\limits_{i}^{\;}{({Ai})*\left( Y^{i} \right)}}}$

wherein:

X: the height of a point on the aspheric surface at a distance Y fromthe optical axis relative to the tangential plane at the asphericsurface vertex;

Y: the distance from the point on the curve of the aspheric surface tothe optical axis;

k: the conic coefficient;

Ai: the aspheric coefficient of order i.

In the first embodiment of the present photographing optical lensassembly, the focal length of the photographing optical lens assembly isf, and it satisfies the relation: f=2.72 (mm).

In the first embodiment of the present photographing optical lensassembly, the f-number of the photographing optical lens assembly isFno, and it satisfies the relation: Fno=2.85.

In the first embodiment of the present photographing optical lensassembly, half of the maximal field of view of the photographing opticallens assembly is HFOV, and it satisfies the relation: HFOV=33.1 deg.

In the first embodiment of the present photographing optical lensassembly, the Abbe number of the first lens element 110 is V1, the Abbenumber of the second lens element 120 is V2, and they satisfy therelation: V1−V2=32.5.

In the first embodiment of the present photographing optical lensassembly, the distance on the optical axis between the first lenselement 110 and the second lens element 120 is T12, the focal length ofthe photographing optical lens assembly is f, and they satisfy therelation: (T12/f)*100=2.2.

In the first embodiment of the present photographing optical lensassembly, the radius of curvature of the object-side surface 111 of thefirst lens element 110 is R1, the radius of curvature of the image-sidesurface 112 of the first lens element 110 is R2, and they satisfy therelation: R1/R2=−0.31.

In the first embodiment of the present photographing optical lensassembly, the radius of curvature of the object-side surface 121 of thesecond lens element 120 is R3, the radius of curvature of the image-sidesurface 122 of the second lens element 120 is R4, and they satisfy therelation: R3/R4=−5.26.

In the first embodiment of the present photographing optical lensassembly, the radius of curvature of the object-side surface 131 of thethird lens element 130 is R5, the radius of curvature of the image-sidesurface 132 of the third lens element 130 is R6, and they satisfy therelations: R5/R6=2.82; and (R5+R6)/(R5−R6)=2.10.

In the first embodiment of the present photographing optical lensassembly, the radius of curvature of the object-side surface 111 of thefirst lens element 110 is R1, the focal length of the photographingoptical lens assembly is f, and they satisfy the relation: R1/f=0.41.

In the first embodiment of the present photographing optical lensassembly, the radius of curvature of the image-side surface 142 of thefirst lens element 140 is R8, the focal length of the photographingoptical lens assembly is f, and they satisfy the relation: R8/f=0.35.

In the first embodiment of the present photographing optical lensassembly, the focal length of the photographing optical lens assembly isf, the focal length of the first lens element 110 is f1, and theysatisfy the relation: f/f1=1.68.

In the first embodiment of the present photographing optical lensassembly, the focal length of the photographing optical lens assembly isf, the focal length of the fourth lens element 140 is f4, and theysatisfy the relation: f/f4=0.80.

In the first embodiment of the present photographing optical lensassembly, the focal length of the third lens element 130 is f3, thefocal length of the fourth lens element 140 is f4, and they satisfy therelation: f3/f4=−0.97.

In the first embodiment of the present photographing optical lensassembly, the focal length of the photographing optical lens assembly isf, the focal length of the first lens element 110 is f1, the focallength of the third lens element 130 is f3, and they satisfy therelation: (f/f1)−(f/f3)=−0.17.

In the first embodiment of the present photographing optical lensassembly, the photographing optical lens assembly further provides anelectronic sensor at the image plane 160 for image formation; whereinthe distance on the optical axis between the aperture stop 100 and theimage plane 160 is SL, the distance on the optical axis between theobject-side surface 111 of the first lens element 110 and the electronicsensor is TTL, and they satisfy the relation: SL/TTL=0.85. Furthermore,half of the diagonal length of the effective pixel area of theelectronic sensor is ImgH, and they satisfy the relation: TTL/ImgH=1.80.

The detailed optical data of the first embodiment is shown in FIG. 15(TABLE 1), and the aspheric surface data is shown in FIG. 16 (TABLE 2),wherein the units of the radius of curvature, the thickness and thefocal length are expressed in mm, and HFOV is half of the maximal fieldof view.

FIG. 3 shows a photographing optical lens assembly in accordance with asecond embodiment of the present invention, and FIG. 4 shows theaberration curves of the second embodiment of the present invention. Thephotographing optical lens assembly of the second embodiment of thepresent invention mainly comprises four lens elements, in order from theobject side to the image side: a plastic first lens element 310 withpositive refractive power having a convex object-side surface 311 and aconvex image-side surface 312, the object-side and image-side surfaces311 and 312 thereof being aspheric; a plastic second lens element 320with negative refractive power having a concave object-side surface 321and a concave image-side surface 322, the object-side and image-sidesurfaces 321 and 322 thereof being aspheric; a plastic third lenselement 330 with positive refractive power having a concave object-sidesurface 331 and a convex image-side surface 332, the object-side andimage-side surfaces 331 and 332 thereof being aspheric; a plastic fourthlens element 340 with negative refractive power having a concaveobject-side surface 341 and a concave image-side surface 342, theobject-side and image-side surfaces 341 and 342 thereof being aspheric,at least one inflection point formed on the object side surface 341 andthe image-side surface 342; and wherein an aperture stop 300 is disposedbetween the first lens element 310 and the second lens element 320;wherein an IR filter 350 is disposed between the image-side surface 342of the fourth lens element 340 and the image plane 360; and wherein theIR filter 350 is made of glass and has no influence on the focal lengthof the photographing optical lens assembly.

The equation of the aspheric surface profiles of the second embodimenthas the same form as that of the first embodiment.

In the second embodiment of the present photographing optical lensassembly, the focal length of the photographing optical lens assembly isf, and it satisfies the relation: f=4.57 (mm).

In the second embodiment of the present photographing optical lensassembly, the f-number of the photographing optical lens assembly isFno, and it satisfies the relation: Fno=2.85.

In the second embodiment of the present photographing optical lensassembly, half of the maximal field of view of the photographing opticallens assembly is HFOV, and it satisfies the relation: HFOV=31.8 deg.

In the second embodiment of the present photographing optical lensassembly, the Abbe number of the first lens element 310 is V1, the Abbenumber of the second lens element 320 is V2, and they satisfy therelation: V1−V2=32.5.

In the second embodiment of the present photographing optical lensassembly, the distance on the optical axis between the first lenselement 310 and the second lens element 320 is T12, the focal length ofthe photographing optical lens assembly is f, and they satisfy therelation: (T12/f)*100=1.4.

In the second embodiment of the present photographing optical lensassembly, the radius of curvature of the object-side surface 311 of thefirst lens element 310 is R1, the radius of curvature of the image-sidesurface 312 of the first lens element 310 is R2, and they satisfy therelation: R1/R2=−0.06.

In the second embodiment of the present photographing optical lensassembly, the radius of curvature of the object-side surface 321 of thesecond lens element 320 is R3, the radius of curvature of the image-sidesurface 322 of the second lens element 320 is R4, and they satisfy therelation: R3/R4=−8.17.

In the second embodiment of the present photographing optical lensassembly, the radius of curvature of the object-side surface 331 of thethird lens element 330 is R5, the radius of curvature of the image-sidesurface 332 of the third lens element 330 is R6, and they satisfy therelations: R5/R6=1.98; and (R5+R6)/(R5−R6)=3.05.

In the second embodiment of the present photographing optical lensassembly, the radius of curvature of the object-side surface 311 of thefirst lens element 310 is R1, the focal length of the photographingoptical lens assembly is f, and they satisfy the relation: R1/f=0.32.

In the second embodiment of the present photographing optical lensassembly, the radius of curvature of the image-side surface 342 of thefirst lens element 340 is R8, the focal length of the photographingoptical lens assembly is f, and they satisfy the relation: R8/f=0.29.

In the second embodiment of the present photographing optical lensassembly, the focal length of the photographing optical lens assembly isf, the focal length of the first lens element 310 is f1, and theysatisfy the relation: f/f1=1.81.

In the second embodiment of the present photographing optical lensassembly, the focal length of the photographing optical lens assembly isf, the focal length of the fourth lens element 340 is f4, and theysatisfy the relation: f/f4=−2.00.

In the second embodiment of the present photographing optical lensassembly, the focal length of the third lens element 330 is f3, thefocal length of the fourth lens element 340 is f4, and they satisfy therelation: f3/f4=−0.99.

In the second embodiment of the present photographing optical lensassembly, the focal length of the photographing optical lens assembly isf, the focal length of the first lens element 310 is f1, the focallength of the third lens element 330 is f3, and they satisfy therelation: (f/f1)−(f/f3)=−0.19.

In the second embodiment of the present photographing optical lensassembly, the photographing optical lens assembly further provides anelectronic sensor at the image plane 360 for image formation; whereinthe distance on the optical axis between the aperture stop 300 and theimage plane 360 is SL, the distance on the optical axis between theobject-side surface 311 of the first lens element 310 and the electronicsensor is TTL, and they satisfy the relation: SL/TTL=0.87. Furthermore,half of the diagonal length of the effective pixel area of theelectronic sensor is ImgH, and they satisfy the relation: TTL/ImgH=1.75.

The detailed optical data of the second embodiment is shown in FIG. 17(TABLE 3), and the aspheric surface data is shown in FIG. 18 (TABLES 4Aand 4B), wherein the units of the radius of curvature, the thickness andthe focal length are expressed in mm, and HFOV is half of the maximalfield of view.

FIG. 5 shows a photographing optical lens assembly in accordance with athird embodiment of the present invention, and FIG. 6 shows theaberration curves of the third embodiment of the present invention. Thephotographing optical lens assembly of the third embodiment of thepresent invention mainly comprises four lens elements, in order from theobject side to the image side: a plastic first lens element 510 withpositive refractive power having a convex object-side surface 511 and aconvex image-side surface 512, the object-side and image-side surfaces511 and 512 thereof being aspheric; a plastic second lens element 520with negative refractive power having a concave object-side surface 521and a concave image-side surface 522, the object-side and image-sidesurfaces 521 and 522 thereof being aspheric; a plastic third lenselement 530 with positive refractive power having a concave object-sidesurface 531 and a convex image-side surface 532, the object-side andimage-side surfaces 531 and 532 thereof being aspheric; a plastic fourthlens element 540 with negative refractive power having a convexobject-side surface 541 and a concave image-side surface 542, theobject-side and image-side surfaces 541 and 542 thereof being aspheric,at least one inflection point formed on the object-side surface 541 andthe image-side surface 542; and wherein an aperture stop 500 is disposedbetween the first lens element 510 and the second lens element 520;wherein an IR filter 550 is disposed between the image-side surface 542of the fourth lens element 540 and the image plane 560; and wherein theIR filter 550 is made of glass and has no influence on the focal lengthof the photographing optical lens assembly.

The equation of the aspheric surface profiles of the third embodimenthas the same form as that of the first embodiment.

In the third embodiment of the present photographing optical lensassembly, the focal length of the photographing optical lens assembly isf, and it satisfies the relation: f=3.76 (mm).

In the third embodiment of the present photographing optical lensassembly, the f-number of the photographing optical lens assembly isFno, and it satisfies the relation: Fno=2.50.

In the third embodiment of the present photographing optical lensassembly, half of the maximal field of view of the photographing opticallens assembly is HFOV, and it satisfies the relation: HFOV=30.6 deg.

In the third embodiment of the present photographing optical lensassembly, the Abbe number of the first lens element 510 is V1, the Abbenumber of the second lens element 520 is V2, and they satisfy therelation: V1−V2=32.5.

In the third embodiment of the present photographing optical lensassembly, the distance on the optical axis between the first lenselement 510 and the second lens element 520 is T12, the focal length ofthe photographing optical lens assembly is f, and they satisfy therelation: (T12/f)*100=3.3.

In the third embodiment of the present photographing optical lensassembly, the radius of curvature of the object-side surface 511 of thefirst lens element 510 is R1, the radius of curvature of the image-sidesurface 512 of the first lens element 510 is R2, and they satisfy therelation: R1/R2=−0.58.

In the third embodiment of the present photographing optical lensassembly, the radius of curvature of the object-side surface 521 of thesecond lens element 520 is R3, the radius of curvature of the image-sidesurface 522 of the second lens element 520 is R4, and they satisfy therelation: R3/R4=−1.32.

In the third embodiment of the present photographing optical lensassembly, the radius of curvature of the object-side surface 531 of thethird lens element 530 is R5, the radius of curvature of the image-sidesurface 532 of the third lens element 530 is R6, and they satisfy therelations: R5/R6=3.27; and (R5+R6)/(R5−R6)=1.88.

In the third embodiment of the present photographing optical lensassembly, the radius of curvature of the object-side surface 511 of thefirst lens element 510 is R1, the focal length of the photographingoptical lens assembly is f, and they satisfy the relation: R1/f=0.48.

In the third embodiment of the present photographing optical lensassembly, the radius of curvature of the image-side surface 542 of thefirst lens element 540 is R8, the focal length of the photographingoptical lens assembly is f, and they satisfy the relation: R8/f=0.26.

In the third embodiment of the present photographing optical lensassembly, the focal length of the photographing optical lens assembly isf, the focal length of the first lens element 510 is f1, and theysatisfy the relation: f/f1=1.72.

In the third embodiment of the present photographing optical lensassembly, the focal length of the photographing optical lens assembly isf, the focal length of the fourth lens element 540 is f4, and theysatisfy the relation: f/f4=−1.83.

In the third embodiment of the present photographing optical lensassembly, the focal length of the third lens element 530 is f3, thefocal length of the fourth lens element 540 is f4, and they satisfy therelation: f3/f4=−1.00.

In the third embodiment of the present photographing optical lensassembly, the focal length of the photographing optical lens assembly isf, the focal length of the first lens element 510 is f1, the focallength of the third lens element 530 is f3, and they satisfy therelation: (f/f1)−(f/f3)=−0.12.

In the third embodiment of the present photographing optical lensassembly, the photographing optical lens assembly further provides anelectronic sensor at the image plane 560 for image formation; whereinthe distance on the optical axis between the aperture stop 500 and theimage plane 560 is SL, the distance on the optical axis between theobject-side surface 511 of the first lens element 510 and the electronicsensor is TTL, and they satisfy the relation: SL/TTL=0.86. Furthermore,half of the diagonal length of the effective pixel area of theelectronic sensor is ImgH, and they satisfy the relation: TTL/ImgH=2.08.

The detailed optical data of the third embodiment is shown in FIG. 19(TABLE 5), and the aspheric surface data is shown in FIG. 20 (TABLES 6Aand 6B), wherein the units of the radius of curvature, the thickness andthe focal length are expressed in mm, and HFOV is half of the maximalfield of view.

FIG. 7 shows a photographing optical lens assembly in accordance with afourth embodiment of the present invention, and FIG. 8 shows theaberration curves of the fourth embodiment of the present invention. Thephotographing optical lens assembly of the fourth embodiment of thepresent invention mainly comprises four lens elements, in order from theobject side to the image side: a plastic first lens element 710 withpositive refractive power having a convex object-side surface 711 and aconvex image-side surface 712, the object-side and image-side surfaces711 and 712 thereof being aspheric; a plastic second lens element 720with negative refractive power having a convex object-side surface 721and a concave image-side surface 722, the object-side and image-sidesurfaces 721 and 722 thereof being aspheric; a plastic third lenselement 730 with positive refractive power having a concave object-sidesurface 731 and a convex image-side surface 732, the object-side andimage-side surfaces 731 and 732 thereof being aspheric; a plastic fourthlens element 740 with negative refractive power having a convexobject-side surface 741 and a concave image-side surface 742, theobject-side and image-side surfaces 741 and 742 thereof being aspheric,at least one inflection point formed on the object-side surface 741 andthe image-side surface 742; and wherein an aperture stop 700 is disposedbetween the first lens element 710 and the second lens element 720;wherein an IR filter 750 is disposed between the image-side surface 742of the fourth lens element 740 and the image plane 760; and wherein theIR filter 750 is made of glass and has no influence on the focal lengthof the photographing optical lens assembly.

The equation of the aspheric surface profiles of the fourth embodimenthas the same form as that of the first embodiment.

In the fourth embodiment of the present photographing optical lensassembly, the focal length of the photographing optical lens assembly isf, and it satisfies the relation: f=3.42 (mm).

In the fourth embodiment of the present photographing optical lensassembly, the f-number of the photographing optical lens assembly isFno, and it satisfies the relation: Fno=2.80.

In the fourth embodiment of the present photographing optical lensassembly, half of the maximal field of view of the photographing opticallens assembly is HFOV, and it satisfies the relation: HFOV=33.0 deg.

In the fourth embodiment of the present photographing optical lensassembly, the Abbe number of the first lens element 710 is V1, the Abbenumber of the second lens element 720 is V2, and they satisfy therelation: V1−V2=32.5.

In the fourth embodiment of the present photographing optical lensassembly, the distance on the optical axis between the first lenselement 710 and the second lens element 720 is T12, the focal length ofthe photographing optical lens assembly is f, and they satisfy therelation: (T12/f)*100=3.1.

In the fourth embodiment of the present photographing optical lensassembly, the radius of curvature of the object-side surface 711 of thefirst lens element 710 is R1, the radius of curvature of the image-sidesurface 712 of the first lens element 710 is R2, and they satisfy therelation: R1/R2=−0.09.

In the fourth embodiment of the present photographing optical lensassembly, the radius of curvature of the object-side surface 721 of thesecond lens element 720 is R3, the radius of curvature of the image-sidesurface 722 of the second lens element 720 is R4, and they satisfy therelation: R3/R4=4.53.

In the fourth embodiment of the present photographing optical lensassembly, the radius of curvature of the object-side surface 731 of thethird lens element 730 is R5, the radius of curvature of the image-sidesurface 732 of the third lens element 730 is R6, and they satisfy therelations: R5/R6=2.81; and (R5+R6)/(R5−R6)=2.10.

In the fourth embodiment of the present photographing optical lensassembly, the radius of curvature of the object-side surface 711 of thefirst lens element 710 is R1, the focal length of the photographingoptical lens assembly is f, and they satisfy the relation: R1/f=0.46.

In the fourth embodiment of the present photographing optical lensassembly, the radius of curvature of the image-side surface 742 of thefirst lens element 740 is R8, the focal length of the photographingoptical lens assembly is f, and they satisfy the relation: R8/f=0.27.

In the fourth embodiment of the present photographing optical lensassembly, the focal length of the photographing optical lens assembly isf, the focal length of the first lens element 710 is f1, and theysatisfy the relation: f/f1=1.28.

In the fourth embodiment of the present photographing optical lensassembly, the focal length of the photographing optical lens assembly isf, the focal length of the fourth lens element 740 is f4, and theysatisfy the relation: f/f4=−1.45.

In the fourth embodiment of the present photographing optical lensassembly, the focal length of the third lens element 730 is f3, thefocal length of the fourth lens element 740 is f4, and they satisfy therelation: f3/f4=−0.96.

In the fourth embodiment of the present photographing optical lensassembly, the focal length of the photographing optical lens assembly isf, the focal length of the first lens element 710 is f1, the focallength of the third lens element 730 is f3, and they satisfy therelation: (f/f1)−(f/f3)=−0.24.

In the fourth embodiment of the present photographing optical lensassembly, the photographing optical lens assembly further provides anelectronic sensor at the image plane 760 for image formation; whereinthe distance on the optical axis between the aperture stop 700 and theimage plane 760 is SL, the distance on the optical axis between theobject-side surface 711 of the first lens element 710 and the electronicsensor is TTL, and they satisfy the relation: SL/TTL=0.86. Furthermore,half of the diagonal length of the effective pixel area of theelectronic sensor is ImgH, and they satisfy the relation: TTL/ImgH=1.92.

The detailed optical data of the fourth embodiment is shown in FIG. 21(TABLE 7), and the aspheric surface data is shown in FIG. 22 (TABLES 8Aand 8B), wherein the units of the radius of curvature, the thickness andthe focal length are expressed in mm, and HFOV is half of the maximalfield of view.

FIG. 9 shows a photographing optical lens assembly in accordance with afifth embodiment of the present invention, and FIG. 10 shows theaberration curves of the fifth embodiment of the present invention. Thephotographing optical lens assembly of the fifth embodiment of thepresent invention mainly comprises four lens elements, in order from theobject side to the image side: a plastic first lens element 910 withpositive refractive power having a convex object-side surface 911 and aconvex image-side surface 912, the object-side and image-side surfaces911 and 912 thereof being aspheric; a plastic second lens element 920with negative refractive power having a concave object-side surface 921and a concave image-side surface 922, the object-side and image-sidesurfaces 921 and 922 thereof being aspheric; a plastic third lenselement 930 with positive refractive power having a concave object-sidesurface 931 and a convex image-side surface 932, the object-side andimage-side surfaces 931 and 932 thereof being aspheric; a plastic fourthlens element 940 with negative refractive power having a concaveobject-side surface 941 and a concave image-side surface 942, theobject-side and image-side surfaces 941 and 942 thereof being aspheric,at least one inflection point formed on the object-side surface 941 andthe image-side surface 942; and wherein an aperture stop 900 is disposedbetween the first lens element 910 and the second lens element 920;wherein an IR filter 950 is disposed between the image-side surface 942of the fourth lens element 940 and the image plane 960; and wherein theIR filter 950 is made of glass and has no influence on the focal lengthof the photographing optical lens assembly.

The equation of the aspheric surface profiles of the fifth embodimenthas the same form as that of the first embodiment.

In the fifth embodiment of the present photographing optical lensassembly, the focal length of the photographing optical lens assembly isf, and it satisfies the relation: f=2.92 (mm).

In the fifth embodiment of the present photographing optical lensassembly, the f-number of the photographing optical lens assembly isFno, and it satisfies the relation: Fno=2.47.

In the fifth embodiment of the present photographing optical lensassembly, half of the maximal field of view of the photographing opticallens assembly is HFOV, and it satisfies the relation: HFOV=33.1 deg.

In the fifth embodiment of the present photographing optical lensassembly, the Abbe number of the first lens element 910 is V1, the Abbenumber of the second lens element 920 is V2, and they satisfy therelation: V1−V2=32.5.

In the fifth embodiment of the present photographing optical lensassembly, the distance on the optical axis between the first lenselement 910 and the second lens element 920 is T12, the focal length ofthe photographing optical lens assembly is f, and they satisfy therelation: (T12/f)*100=2.5.

In the fifth embodiment of the present photographing optical lensassembly, the radius of curvature of the object-side surface 911 of thefirst lens element 910 is R1, the radius of curvature of the image-sidesurface 912 of the first lens element 910 is R2, and they satisfy therelation: R1/R2=−0.14.

In the fifth embodiment of the present photographing optical lensassembly, the radius of curvature of the object-side surface 921 of thesecond lens element 920 is R3, the radius of curvature of the image-sidesurface 922 of the second lens element 920 is R4, and they satisfy therelation: R3/R4=−2.94.

In the fifth embodiment of the present photographing optical lensassembly, the radius of curvature of the object-side surface 931 of thethird lens element 930 is R5, the radius of curvature of the image-sidesurface 932 of the third lens element 930 is R6, and they satisfy therelations: R5/R6=2.53; and (R5+R6)/(R5−R6)=2.31.

In the fifth embodiment of the present photographing optical lensassembly, the radius of curvature of the object-side surface 911 of thefirst lens element 910 is R1, the focal length of the photographingoptical lens assembly is f, and they satisfy the relation: R1/f=0.36.

In the fifth embodiment of the present photographing optical lensassembly, the radius of curvature of the image-side surface 942 of thefirst lens element 940 is R8, the focal length of the photographingoptical lens assembly is f, and they satisfy the relation: R8/f=0.31.

In the fifth embodiment of the present photographing optical lensassembly, the focal length of the photographing optical lens assembly isf, the focal length of the first lens element 910 is f1, and theysatisfy the relation: f/f1=1.68.

In the fifth embodiment of the present photographing optical lensassembly, the focal length of the photographing optical lens assembly isf, the focal length of the fourth lens element 940 is f4, and theysatisfy the relation: f/f4=−1.83.

In the fifth embodiment of the present photographing optical lensassembly, the focal length of the third lens element 930 is f3, thefocal length of the fourth lens element 940 is f4, and they satisfy therelation: f3/f4=−1.07.

In the fifth embodiment of the present photographing optical lensassembly, the focal length of the photographing optical lens assembly isf, the focal length of the first lens element 910 is f1, the focallength of the third lens element 930 is f3, and they satisfy therelation: (f/f1)−(f/f3)=−0.04.

In the fifth embodiment of the present photographing optical lensassembly, the photographing optical lens assembly further provides anelectronic sensor at the image plane 960 for image formation; whereinthe distance on the optical axis between the aperture stop 900 and theimage plane 960 is SL, the distance on the optical axis between theobject-side surface 911 of the first lens element 910 and the electronicsensor is TTL, and they satisfy the relation: SL/TTL=0.83. Furthermore,half of the diagonal length of the effective pixel area of theelectronic sensor is ImgH, and they satisfy the relation: TTL/ImgH=1.71.

The detailed optical data of the fifth embodiment is shown in FIG. 23(TABLE 9), and the aspheric surface data is shown in FIG. 24 (TABLES 10Aand 10B), wherein the units of the radius of curvature, the thicknessand the focal length are expressed in mm, and HFOV is half of themaximal field of view.

FIG. 11 shows a photographing optical lens assembly in accordance with asixth embodiment of the present invention, and FIG. 12 shows theaberration curves of the sixth embodiment of the present invention. Thephotographing optical lens assembly of the sixth embodiment of thepresent invention mainly comprises four lens elements, in order from theobject side to the image side: a plastic first lens element 1110 withpositive refractive power having a convex object-side surface 1111 and aconvex image-side surface 1112, the object-side and image-side surfaces1111 and 1112 thereof being aspheric; a plastic second lens element 1120with negative refractive power having a concave object-side surface 1121and a concave image-side surface 1122, the object-side and image-sidesurfaces 1121 and 1122 thereof being aspheric; a plastic third lenselement 1130 with positive refractive power having a concave object-sidesurface 1131 and a convex image-side surface 1132, the object-side andimage-side surfaces 1131 and 1132 thereof being aspheric; a plasticfourth lens element 1140 with negative refractive power having a concaveobject-side surface 1141 and a concave image-side surface 1142, theobject-side and image-side surfaces 1141 and 1142 thereof beingaspheric, at least one inflection point formed on the object-sidesurface 1141 and the image-side surface 1142; and wherein an aperturestop 1100 is disposed between the first lens element 1110 and the secondlens element 1120; wherein an IR filter 1150 is disposed between theimage-side surface 1142 of the fourth lens element 1140 and the imageplane 1160; and wherein the IR filter 1150 is made of glass and has noinfluence on the focal length of the photographing optical lensassembly.

The equation of the aspheric surface profiles of the sixth embodimenthas the same form as that of the first embodiment.

In the sixth embodiment of the present photographing optical lensassembly, the focal length of the photographing optical lens assembly isf, and it satisfies the relation: f=2.92 (mm).

In the sixth embodiment of the present photographing optical lensassembly, the f-number of the photographing optical lens assembly isFno, and it satisfies the relation: Fno=2.45.

In the sixth embodiment of the present photographing optical lensassembly, half of the maximal field of view of the photographing opticallens assembly is HFOV, and it satisfies the relation: HFOV=31.5 deg.

In the sixth embodiment of the present photographing optical lensassembly, the Abbe number of the first lens element 1110 is V1, the Abbenumber of the second lens element 1120 is V2, and they satisfy therelation: V1−V2=32.5.

In the sixth embodiment of the present photographing optical lensassembly, the distance on the optical axis between the first lenselement 1110 and the second lens element 1120 is T12, the focal lengthof the photographing optical lens assembly is f, and they satisfy therelation: (T12/f)*100=1.7.

In the sixth embodiment of the present photographing optical lensassembly, the radius of curvature of the object-side surface 1111 of thefirst lens element 1110 is R1, the radius of curvature of the image-sidesurface 1112 of the first lens element 1110 is R2, and they satisfy therelation: R1/R2=−0.35.

In the sixth embodiment of the present photographing optical lensassembly, the radius of curvature of the object-side surface 1121 of thesecond lens element 1120 is R3, the radius of curvature of theimage-side surface 1122 of the second lens element 1120 is R4, and theysatisfy the relation: R3/R4=−2.16.

In the sixth embodiment of the present photographing optical lensassembly, the radius of curvature of the object-side surface 1131 of thethird lens element 1130 is R5, the radius of curvature of the image-sidesurface 1132 of the third lens element 1130 is R6, and they satisfy therelations: R5/R6=2.26; and (R5+R6)/(R5−R6)=2.59.

In the sixth embodiment of the present photographing optical lensassembly, the radius of curvature of the object-side surface 1111 of thefirst lens element 1110 is R1, the focal length of the photographingoptical lens assembly is f, and they satisfy the relation: R1/f=0.41.

In the sixth embodiment of the present photographing optical lensassembly, the radius of curvature of the image-side surface 1142 of thefirst lens element 1140 is R8, the focal length of the photographingoptical lens assembly is f, and they satisfy the relation: R8/f=0.30.

In the sixth embodiment of the present photographing optical lensassembly, the focal length of the photographing optical lens assembly isf, the focal length of the first lens element 1110 is f1, and theysatisfy the relation: f/f1=1.71.

In the sixth embodiment of the present photographing optical lensassembly, the focal length of the photographing optical lens assembly isf, the focal length of the fourth lens element 1140 is f4, and theysatisfy the relation: f/f4=−1.96.

In the sixth embodiment of the present photographing optical lensassembly, the focal length of the third lens element 1130 is f3, thefocal length of the fourth lens element 1140 is f4, and they satisfy therelation: f3/f4=−0.98.

In the sixth embodiment of the present photographing optical lensassembly, the focal length of the photographing optical lens assembly isf, the focal length of the first lens element 1110 is f1, the focallength of the third lens element 1130 is f3, and they satisfy therelation: (f/f1)−(f/f3)=−0.29.

In the sixth embodiment of the present photographing optical lensassembly, the photographing optical lens assembly further provides anelectronic sensor at the image plane 1160 for image formation; whereinthe distance on the optical axis between the aperture stop 1100 and theimage plane 1160 is SL, the distance on the optical axis between theobject-side surface 1111 of the first lens element 1110 and theelectronic sensor is TTL, and they satisfy the relation: SL/TTL=0.87.Furthermore, half of the diagonal length of the effective pixel area ofthe electronic sensor is ImgH, and they satisfy the relation:TTL/ImgH=1.94.

The detailed optical data of the sixth embodiment is shown in FIG. 25(TABLE 11), and the aspheric surface data is shown in FIG. 26 (TABLES12A and 12B), wherein the units of the radius of curvature, thethickness and the focal length are expressed in mm, and HFOV is half ofthe maximal field of view.

FIG. 13 shows a photographing optical lens assembly in accordance with aseventh embodiment of the present invention, and FIG. 14 shows theaberration curves of the seventh embodiment of the present invention.The photographing optical lens assembly of the seventh embodiment of thepresent invention mainly comprises four lens elements, in order from theobject side to the image side: a plastic first lens element 1310 withpositive refractive power having a convex object-side surface 1311 and aconvex image-side surface 1312, the object-side and image-side surfaces1311 and 1312 thereof being aspheric; a plastic second lens element 1320with negative refractive power having a concave object-side surface 1321and a concave image-side surface 1322, the object-side and image-sidesurfaces 1321 and 1322 thereof being aspheric; a plastic third lenselement 1330 with positive refractive power having a concave object-sidesurface 1331 and a convex image-side surface 1332, the object-side andimage-side surfaces 1331 and 1332 thereof being aspheric; a plasticfourth lens element 1340 with negative refractive power having a concaveobject-side surface 1341 and a concave image-side surface 1342, theobject-side and image-side surfaces 1341 and 1342 thereof beingaspheric, at least one inflection point formed on the object-sidesurface 1341 and image-side surface 1342; and wherein an aperture stop1300 is disposed between the first lens element 1310 and the second lenselement 1320; wherein an IR filter 1350 is disposed between theimage-side surface 1342 of the fourth lens element 1340 and the imageplane 1360; and wherein the IR filter 1350 is made of glass and has noinfluence on the focal length of the photographing optical lensassembly.

The equation of the aspheric surface profiles of the seventh embodimenthas the same form as that of the first embodiment.

In the seventh embodiment of the present photographing optical lensassembly, the focal length of the photographing optical lens assembly isf, and it satisfies the relation: f=2.74 (mm).

In the seventh embodiment of the present photographing optical lensassembly, the f-number of the photographing optical lens assembly isFno, and it satisfies the relation: Fno=2.85.

In the seventh embodiment of the present photographing optical lensassembly, half of the maximal field of view of the photographing opticallens assembly is HFOV, and it satisfies the relation: HFOV=33.0 deg.

In the seventh embodiment of the present photographing optical lensassembly, the Abbe number of the first lens element 1310 is V1, the Abbenumber of the second lens element 1320 is V2, and they satisfy therelation: V1−V2=32.5.

In the seventh embodiment of the present photographing optical lensassembly, the distance on the optical axis between the first lenselement 1310 and the second lens element 1320 is T12, the focal lengthof the photographing optical lens assembly is f, and they satisfy therelation: (T12/f)*100=2.4.

In the seventh embodiment of the present photographing optical lensassembly, the radius of curvature of the object-side surface 1311 of thefirst lens element 1310 is R1, the radius of curvature of the image-sidesurface 1312 of the first lens element 1310 is R2, and they satisfy therelation: R1/R2=−0.26.

In the seventh embodiment of the present photographing optical lensassembly, the radius of curvature of the object-side surface 1321 of thesecond lens element 1320 is R3, the radius of curvature of theimage-side surface 1322 of the second lens element 1320 is R4, and theysatisfy the relation: R3/R4=−2.69.

In the seventh embodiment of the present photographing optical lensassembly, the radius of curvature of the object-side surface 1331 of thethird lens element 1330 is R5, the radius of curvature of the image-sidesurface 1332 of the third lens element 1330 is R6, and they satisfy therelations: R5/R6=2.46; and (R5+R6)/(R5-R6)=2.37.

In the seventh embodiment of the present photographing optical lensassembly, the radius of curvature of the object-side surface 1311 of thefirst lens element 1310 is R1, the focal length of the photographingoptical lens assembly is f, and they satisfy the relation: R1/f=0.41.

In the seventh embodiment of the present photographing optical lensassembly, the radius of curvature of the image-side surface 1342 of thefirst lens element 1340 is R8, the focal length of the photographingoptical lens assembly is f, and they satisfy the relation: R8/f=0.31.

In the seventh embodiment of the present photographing optical lensassembly, the focal length of the photographing optical lens assembly isf, the focal length of the first lens element 1310 is f1, and theysatisfy the relation: f/f1=1.62.

In the seventh embodiment of the present photographing optical lensassembly, the focal length of the photographing optical lens assembly isf, the focal length of the fourth lens element 1340 is f4, and theysatisfy the relation: f/f4=−2.00.

In the seventh embodiment of the present photographing optical lensassembly, the focal length of the third lens element 1330 is f3, thefocal length of the fourth lens element 1340 is f4, and they satisfy therelation: f3/f4=−1.01.

In the seventh embodiment of the present photographing optical lensassembly, the focal length of the photographing optical lens assembly isf, the focal length of the first lens element 1310 is f1, the focallength of the third lens element 1330 is f3, and they satisfy therelation: (f/f1)−(f/f3)=−0.35.

In the seventh embodiment of the present photographing optical lensassembly, the photographing optical lens assembly further provides anelectronic sensor at the image plane 1360 for image formation; whereinthe distance on the optical axis between the aperture stop 1300 and theimage plane 1360 is SL, the distance on the optical axis between theobject-side surface 1311 of the first lens element 1310 and theelectronic sensor is TTL, and they satisfy the relation: SL/TTL=0.87.Furthermore, half of the diagonal length of the effective pixel area ofthe electronic sensor is ImgH, and they satisfy the relation:TTL/ImgH=1.82.

The detailed optical data of the seventh embodiment is shown in FIG. 27(TABLE 13), and the aspheric surface data is shown in FIG. 28 (TABLES14A and 14B), wherein the units of the radius of curvature, thethickness and the focal length are expressed in mm, and HFOV is half ofthe maximal field of view.

It is to be noted that TABLES 1-14 (illustrated in FIGS. 15-28respectively) show different data of the different embodiments, however,the data of the different embodiments are obtained from experiments.Therefore, any photographing optical lens assembly of the same structureis considered to be within the scope of the present invention even if ituses different data. The embodiments depicted above and the appendeddrawings are exemplary and are not intended to limit the claim scope ofthe present invention. TABLE 15 (illustrated in FIG. 29) shows the dataof the respective embodiments resulting from the equations.

1-11. (canceled)
 12. A photographing optical lens assembly comprising,in order from an object side to an image side: a first lens element withpositive refractive power having a convex object-side surface and aconvex image-side surface; a second lens element with negativerefractive power having a concave image-side surface; a third lenselement with positive refractive power having a concave object-sidesurface and a convex image-side surface, at least one of the object-sideand image-side surfaces thereof being aspheric; and a fourth lenselement with negative refractive power having a concave image-sidesurface, both of the object-side and image-side surfaces thereof beingaspheric, at least one inflection point formed on the object-side andimage-side surfaces; wherein the photographing optical lens assemblyfurther comprises an aperture stop, disposed between the first lenselement and the second element, and an electronic sensor, disposed atthe image plane for image formation; wherein there are four lenselements with refractive power in the photographing optical lensassembly; and wherein a focal length of the photographing optical lensassembly is f, a focal length of the first lens element is f1, a focallength of the third lens element is f3, an Abbe number of the first lenselement is V1, an Abbe number of the second lens element is V2, a radiusof curvature of the object-side surface of the first lens element is R1,a radius of curvature of the image-side surface of the first lenselement is R2, a radius of curvature of the object-side surface of thethird lens element is R5, a radius of curvature of the image-sidesurface of the third lens element is R6, a distance on the optical axisbetween the aperture stop and the image plane is SL, a distance on theoptical axis between the object-side surface of the first lens elementand the electronic sensor is TTL, half of the diagonal length of theeffective pixel area of the electronic sensor is ImgH, and they satisfythe relations:−0.27<(f/f1)−(f/f3)<−0.05;31.0<V1−V2<42.0;−2.00<R1/R2<−0.01;1.40<R5/R6<4.30;0.77<SL/TTL<0.92; andTTL/ImgH<1.95
 13. The photographing optical lens assembly according toclaim 12, wherein the focal length of the third lens element is f3, afocal length of the fourth lens element is f4, and they satisfy therelation: −1.2<f3/f4<−0.8.
 14. The photographing optical lens assemblyaccording to claim 12, wherein a distance on the optical axis betweenthe first and second lens elements is T12, the focal length of thephotographing optical lens assembly is f, and they satisfy the relation:0.5<(T12/f)*100<4.0.
 15. The photographing optical lens assemblyaccording to claim 12, wherein a radius of curvature of the image-sidesurface of the fourth lens element is R8, the focal length of thephotographing optical lens assembly is f, and they satisfy the relation:0.20<R8/f<0.35.
 16. The photographing optical lens assembly according toclaim 15, wherein a radius of curvature of the object-side surface ofthe second lens element is R3, a radius of curvature of the image-sidesurface of the second lens element is R4, and they satisfy the relation:−10.0<R3/R4<−1.0.
 17. The photographing optical lens assembly accordingto claim 12, wherein the focal length of the photographing optical lensassembly is f, a focal length of the fourth lens element is f4, and theysatisfy the relation: −2.5<f/f4<−1.5.
 18. The photographing optical lensassembly according to claim 12, wherein the fourth lens element has aconvex object-side surface and a concave image-side surface.
 19. Thephotographing optical lens assembly according to claim 12, wherein thefocal length of the photographing optical lens assembly is f, the focallength of the first lens element is f1, and they satisfy the relation:1.53<f/f1<2.00.
 20. The photographing optical lens assembly according toclaim 12, wherein a radius of curvature of the object-side surface ofthe first lens element is R1, a radius of curvature of the image-sidesurface of the first lens element is R2, and they satisfy the relation:−1.00<R1/R2<−0.05. 21-25. (canceled)